In this paper the turbulent natural convection flow is investigated through Large Eddy Simulation (LES) turbulence model, which is applied in Lattice Boltzmann, and the results for high Rayleigh numbers between 106 and 109are represented. Air with Pr=0.71 is considered in this study. In this investigation we have tried to present Large-eddy turbulence model by Lattice Boltzmann Method (LBM) with a clear and simple statement. The results confirm that this method is in acceptable agreement with other verifications of such a flow. The effects of increase in Rayleigh number are displayed on streamlines, isotherm counters, local Nusselt number and average Nusselt number.